3133644488064 has 192 divisors, whose sum is σ = 9294094817280. Its totient is φ = 1012696473600.

The previous prime is 3133644488059. The next prime is 3133644488069. The reversal of 3133644488064 is 4608844463313.

3133644488064 is a `hidden beast` number, since 3 + 1 + 3 + 3 + 64 + 448 + 80 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (3133644488059) and next prime (3133644488069).

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 3133644488064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3133644488069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11846529 + ... + 12108159.

It is an arithmetic number, because the mean of its divisors is an integer number (48406743840).

Almost surely, 2^{3133644488064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3133644488064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4647047408640).

3133644488064 is an abundant number, since it is smaller than the sum of its proper divisors (6160450329216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3133644488064 is a wasteful number, since it uses less digits than its factorization.

3133644488064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261969 (or 261954 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 54.

The spelling of 3133644488064 in words is "three trillion, one hundred thirty-three billion, six hundred forty-four million, four hundred eighty-eight thousand, sixty-four".